How to Find GCF of 9596/975, 9944/3892?

GCF of 9596/975, 9944/3892

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9596/975, 9944/3892 i.e 4/3794700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9596/975, 9944/3892.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9596/975,9944/3892?

Given fractions are 9596/975,9944/3892

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9596/975,9944/3892, numerators are 9596,9944

Denominators are 975,3892

The GCF of 9596,9944 is 4 .

LCM of 975,3892 is 3794700.

The greatest common factor of 9596/975,9944/3892 = [GCF of 9596,9944]/[LCM of 975,3892]= 4/3794700

Therefore, the GCF of 9596/975,9944/3892 is 4/3794700.

Greatest Common Factor of 9596,9944

To find the highest common factor of 9596,9944, we have to find the factors of both numbers and list the highest common factor.

The factors of 9596 are 1, 2, 4, 2399, 4798, 9596

The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944

The HCF of 9596,9944 is 4.

Lets's calculate GCF of 9596,9944

Greatest Common Factor (GCF) of 9596,9944 By Common Division

2	9596, 9944
2	4798, 4972
	2399, 2486

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9596,9944 By Matching Biggest Common Factor Method

Now, list down the factors of 9596

1,2,4,2399,4798,9596

Now, list down the factors of 9944

1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944

Greatest Common Factor

We found the factors 9596,9944 . The biggest common factor number is the GCF number.
So the greatest common factor 9596,9944 is 4.

Lets's calculate LCM of 975,3892

Lowest Common Multiple of 975,3892 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3794700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3794700

Therefore, the GCF of Fractions 9596/975,9944/3892 is 4/3794700

Least Common Multiple of 975,3892 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 975,3892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,3892) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(975,3892) x common factors =1 x 1 = 1

LCM(975,3892) = ( 975 × 3892 ) / 1

LCM(975,3892) = 3794700 / 1

LCM(975,3892) = 3794700

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9596/975, 9944/3892

1. What is the HCF of 9596,9944?

The HCF of 9596,9944 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9596/975, 9944/3892?

Answer: GCF of Numerators as per given numbers 9596/975, 9944/3892 is

GCF of Numerators i.e. for 9596,9944 is 4

LCM of denominators i.e. for 975,3892 is 3794700.

Thus, GCF of Fractions is 4/3794700.Finally, GCF of Fractions for 9596/975, 9944/3892 is 4/3794700.